Answer:
Option 4.∠ERT and ∠MRC
Step-by-step explanation:
Definition of vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross).They are also called vertically opposite angles.
Option 1. ∠KRC and ∠CRH
Refer the figure .
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 2. ∠KRE and ∠ERT
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 3. ∠MRC and ∠KRM
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 4.∠ERT and ∠MRC
MT and EC are the two lines that cross each other at vertex R ,
Thus ∠ERT and ∠MRC are opposite to each other .
Hence ∠ERT and ∠MRC are pair of vertcal angles .
Answer:
120960
Step-by-step explanation:
Given that a librarian has a set of ten different books, including four different books about Abraham Lincoln.
The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.
First arrnage the 6 other books in the shelf.
This can be done in 
Now arrange the 4 books of Lincoln
This can be done in 
Now we have 7 places to insert Lincoln books including two corners and in between.
Thus this can be done in 7 ways
Total no of ways = 
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You can actually use either the product rule or the chain rule for this one. Observe:
• Method I:y = cos² xy = cos x · cos xDifferentiate it by applying the product rule:

The derivative of
cos x is
– sin x. So you have


—————
• Method II:You can also treat
y as a composite function:

and then, differentiate
y by applying the chain rule:

For that first derivative with respect to
u, just use the power rule, then you have

and then you get the same answer:

I hope this helps. =)
Tags: <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>
Given profit,
p(t)=0.4t^2+5.3t-8
After the first year, t=1
p(1)=0.4*(1^2)+5.3*1-8=-2.3
Answer: the annual loss of the coffee shop after the first year (i.e. the second year) is $2,300.
Step-by-step explanation:
when means of more than two groups are to be compared, ANOVA is perferred